When you factor out -1, you get ...
... -(2 4/5 - 6/7)
Artie has a book of short stories. the number of each time of short story is shown below. •6 science fiction stories •4 adventure stories • 3 historical stories • 2 sports stories He selects one short story at random. What is the probability that the story Artie selects is either a science fiction story or an adventure story?
Since, there are 6 science fiction stories, 4 adventure stories, 3 historical stories and 2 sport stories.
So, total number of stories = 6+4+3+2 = 15 stories
Probability that Artie selects a science fiction story = [tex]\frac{6}{15}[/tex]
Probability that Artie selects an adventure story = [tex]\frac{4}{15}[/tex]
Probability that story selected is either a science fiction or adventure fiction = P(Science) + P(Adventure)
= [tex]\frac{6}{15} + \frac{4}{15}[/tex]
= [tex]\frac{10}{15}[/tex]
= 0.66
=0.67
Therefore, the probability that the story Artie selects is either a science fiction story or an adventure story is 0.67.
Answer:Probability of selecting either A or B P(A∩B)=2/3.
Step-by-step explanation:
Total number of story books=6+4+3+2=15
Let A be the event of selecting science fiction story
then its probability P(A)=number of science stories/total stories=6/15
Now let B be the event of selecting adventure story P(B)=number of adventure stories/total stories
=4/15
thus Probability of selecting either A or B P(A∩B)=P(A)+P(B)=6/15+4/15=10/15=2/3.
what is the product of all integers between √61 and √101
√61 ≈ 7.8
√101 ≈ 10.05
The integers between these numbers are 8, 9, 10. The product of these is 720.
what is an equation of the line with slope 2 that goes through point (3/2, 6)
a.) y=3x+3
b.)y=2x+3
c.)y=2x-3
d.)y=-3x+2
The answers are in slope-intercept form, so you can see that the slope (coefficient of x) is only correct for choices b and c.
When you substitute x=3/2 into those equations, you find that b gives y=6 (correct) and c gives y=0 (incorrect).
The appropriate choice is ...
... b.) y = 2x+3
What’s the answer to this question? Need help ASAP !
Answer:
4m+12$$, squared 12/34+10566
Step-by-step explanation:
the quotient should be 2x² + x - 3 not 2x² + x + 3
the error was made in the division of x² into the line -3x² + 6x - 3
where it goes in - 3 times not + 3 times ← error
solve 4-6n=8(n+7) distributive propertiy
The distributive property tells you the product is found by multiplying each term inside parentheses by the factor outside.
... 4 -6n = 8n +8·7
... 4 = 14n +56 . . . . . . . add 6n to both sides
... -52 = 14n . . . . . . . . . subtract 56 from both sides
... -52/14 = -26/7 = n . . . divide by 14, reduce the fraction
The solution is ...
... n = -26/7 = -3 5/7
Ok... so I failed my math test because I wasnt at school for a week and didn't know anything....
Here is the question: 5^-8 x 5^4
There are 14 more girls than boys in the school orchestra.There are 19 boys.How many students are in the school orchestra
THere are 52 students because there is 19 boys and 14 more girls than guys which means 19 + 19 + 14
There are 14 more girls than the 19 boys in the school orchestra, so there are 33 girls. Adding 33 girls and 19 boys, we find there are 52 students in the orchestra.
Explanation:This question falls under the category of simple addition in mathematics. We are given there are 19 boys in the school orchestra and there are 14 more girls than the boys. To find out the total number of students, we add the number of boys to the number of girls.
First, understand that if there are 14 more girls than boys, the number of girls will be 19 (boys) + 14 = 33 girls. Next, adding the number of boys and girls together would give you 19 (boys) + 33 (girls) = 52 students. Hence, there are total 52 students in the school orchestra.
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4 - x = 11 - 8
how to find the x number
Let's solve your equation step-by-step.
4−x=11−8
Step 1: Simplify both sides of the equation.
4−x=11−8
4+−x=11+−8
−x+4=(11+−8)(Combine Like Terms)
−x+4=3
−x+4=3
Step 2: Subtract 4 from both sides.
−x+4−4=3−4
−x=−1
Step 3: Divide both sides by -1.
−x /-1=-1/-1
x=1
Answer:
x=1
Find x- and y-intercepts. Write ordered pairs representing the points where the line crosses the axes.
y=6x
When you have a linear equation of the form y = mx, such as this one, you know immediately that the line passes thru the origin (0,0). Were the form y = mx + b, then the y-intercept would be (0,b) and the x-intercept ( [-b/m, 0).
what is the product of 1 1\2 and - 1 1/4 as a mixed number in simplified from
find an equation of the circle whose diameter has endpoints (3,5) and (3,-4)
The diameter is a vertical line (x=3) and is of length 9 (= 5-(-4)). The radius is half the diameter (so is 4.5), and the center is 4.5 units above the bottom end of the diameter, so is at (3, 0.5). The square of the radius will be 4.5² = 20.25.
A circle with center (h, k) and radius r has formula
... (x -h)² +(y -k)² = r²
The equation of this circle can be written as
... (x -3)² +(y -0.5)² = 20.25
In order to show that variable a causes variable b, you need to _____ variable
a.
Answer:
Change
Step-by-step explanation:
Here there are two variables a and b.
a is causing variable b.
In other words, a is an independent variable which can take any values, and b takes values depending on the value of a.
Examples are: b=ma+k or b =2a^2 etc.
Whenever we change a there is a change in b.
But it should be noted when there is a change in b, there is a change in a also.
However, normally a is changed first and b is derived from a.
Hence the statement
In order to show that variable a causes variable b, you need to change_____ variable
a.
To show that variable a causes variable b, you need to establish a cause-and-effect relationship between the two variables.
Explanation:To show that variable a causes variable b, you need to establish a cause-and-effect relationship between the two variables. This can be done through experimentation or observation. By manipulating variable a and observing its effect on variable b, you can determine if there is a causal relationship between them.
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Locating Zeros of Polynomial Function:
Approximate the real zeros of f(x)=x^3-4x+6 to the nearest tenth
-2.5 is the best approximation. Putting this into the equation we get:
-2.5*-2.5*-2.5 -4*-2.5 +6
-15.625 + 10 + 6 = .375
Answer: D or -2.5
Step-by-step explanation:
By using a graphing calculator, we can see that there is only one rational x intercept, -2.525. By simply rounding this value to the nearest tenth we get -2.5
Jack drives an 18 wheeler. The truck's gas tank holds 105 gallons of gasoline. The driver begins the trip with a full tank. At his first stop his tank is 65% full. How much gasoline did he use?
Jack drives an 18 wheeler. The truck's gas tank holds 105 gallons of gasoline. The driver begins the trip with a full tank.
Tank holds 105 gallons
65% of gasoline is 0.65 * 105 = 68.25
so 68.25 gallons left in the tank
Tank holds 105 gallons and left out with 68.25 gallons
So gasoline used = 105 - 68.25= 36.75
36.75 gallons of gasoline used
Q#1 please help t o resolve
Answer: option. y=-1.33x; 2.67
Solution:
If y varies directly with x, the relation between y and x is:
y=kx
where k is a constant of proporcionality.
We know y=8 when x=-6. Replacing these values in the equation above:
8=k(-6)
8=-6k
Solving for k: Dividing both sides of the equation by -6:
8/(-6)=-6k/(-6)
-1.33=k
k=-1.33
Then the relation between y and x is:
y=kx→y=-1.33x
What is the value of y when x=-2?
Replacing x by -2 in the formula:
y=-1.33x→y=-1.33(-2)→y=2.66
The number of pages in the U.S. tax code exceeds the number of pages in the King James Bible by 18,528. The combined number of pages in the tax code and the Bible is 21,472. how many pages are in the bible?
Answer: The number of pages in the U.S. tax code x=20000 and the number of pages in the King James Bible y = 1472
Step-by-step explanation:
Let the number of pages in the U.S. tax code be x and the number of pages in the King James Bible be y.
According to the given problem , we have the following system
x - y = 18528 ..............(1)
x + y = 21472 ..............(2)
Adding (1) and (2) , we get
2x = 18528 +21472 = 40000
⇒ 2x =40000
⇒ x =20000
Putting value of x = 20000 in (2) ,we get
20000 + y =21472
⇒ y = 1472
Ans the number of pages in the U.S. tax code x=20000 and the number of pages in the King James Bible y = 1472
Final answer:
By setting up an equation and solving for B, which represents the number of pages in the Bible, it is determined that the King James Bible has 1,472 pages.
Explanation:
To determine how many pages are in the King James Bible, we need to set up an equation based on the information given in the problem. We know that the number of pages in the U.S. tax code exceeds the number of pages in the King James Bible by 18,528 and the combined total of pages in both the tax code and the Bible is 21,472.
Let's let B represent the number of pages in the Bible. Then the number of pages in the U.S. tax code would be B + 18,528. The total number of pages in both is given to be 21,472, so we can write the following equation:
B + (B + 18,528) = 21,472
Simplifying the equation, we get:
2B + 18,528 = 21,472
Subtract 18,528 from both sides to get the number of pages in the Bible:
2B = 2,944
Divide by 2 to solve for B:
B = 1,472
Therefore, the King James Bible has 1,472 pages.
The football team has a total of 20 jerseys. There are 4 medium-sized jerseys. What percent of the jerseys are medium-sized jerseys?
Answer:
20%
Step-by-step explanation:
i did it and got it right
the picture is my evidence.
You have $37 when you get to the mall. You need to save $3 for bus fare to get back home. Which inequality represents the amount of money, m, you can spend?
A. 37 - m > 3
B. 3 < m + 37
C. 37 - m ≥ 3
D. m ≤ 37 + 3
The answer is c because the amount of money you have 37 minus the amount you can spend ( at most 34) has to be more than or equal to 3.
Answer:
C. 37 - m ≥ 3
I need help with these
1. a= 60 (vertically opposite angles)
b= 360-(60+60)=240/2= 120 (angles at a point)
c= 120 (vertically opposite angles with b)
2. c= 90-40= 50 (vertically opposite angles)
b=a=360-90-90=180/2=90 (angles at a point)
3. a= 180-52-51= 77 (angles on a straight line)
b=52 (angles at a point)
d=51 (angles at a point)
c=77 (angles at a point)
4. a= 60 (vertically opposite angles)
b= 360-(60+60)=240/2= 120 (angles at a point)
c= 120 (vertically opposite angles with b)
e=65
d=f= 360-65-65=230/2=115
h=55
i=g=360-55-55=250/2=125
5. b=163
a=90
e=70
d=360-70-70=220/2=110
c=360-163-163=34/2=17
Hope this helps!
Plz help with geometry question is below
Answer:
a
Step-by-step explanation:
WILL GIVE BRAINLIEST!!!!
The coordinates of the vertices of quadrilateral JKLM are J(−3, 2) , K(4, −1) , L(2, −5) , and M(−5, −2) . Drag and drop the choices into each box to correctly complete the sentences.
The slope for JK is________ , the slope of LK is ,________ the slope of ML is_______ , and the slope of MJ is__________ . Quadrilateral JKLM_________a parallelogram because____________ .
Answer choices:
*−1/2
*−3/7
*2/4
*is
*is not
*both pairs of opposite sides are parallel
*only one pair of opposite sides is parallel
*neither pair of opposite sides is parallel
slope of JK: -3/7
slope of LK: 1/2
slope of ML: -3/7
slope of MJ: 2
Quadrilateral JKLM is a parallelogram because both pairs of opposite sides are parallel
calculate the slope m using the gradient formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = J(- 3, 2 ) and (x₂, y₂ ) = K(4, - 1 )
[tex]m_{JK}[/tex] = [tex]\frac{-1-2}{4+3}[/tex] = - [tex]\frac{3}{7}[/tex]
with (x₁, y₁ ) = L(2, - 5 ) and (x₂, y₂ ) = K(4, - 1 )
[tex]m_{LK}[/tex] = [tex]\frac{-1+5}{4-2}[/tex] = [tex]\frac{4}{2}[/tex] = 2
Similarly
[tex]m_{ML}[/tex] = [tex]\frac{-2+5}{-5-2}[/tex] = - [tex]\frac{3}{7}[/tex]
[tex]m_{MJ}[/tex] = [tex]\frac{-2-2}{-5+3}[/tex] = [tex]\frac{-4}{-2}[/tex] = 2
JKLM is a parallelogram because both pairs of opposite sides are parallel
Q# ..7 match the equation with its graph -4x - 2y =8
If you divide by 8, you can put the equation into intercept form. That form is ...
... x/a + y/b = 1
where a and b are the x- and y-intercepts, respectively.
Here, your equation would be
... x/(-2) + y/(-4) = 0
The graph with those intercepts is not shown with your problem statement here. See the attachment for the graph.
Use the distributive property to express 18 + 24
Answer:
The answer is 6(3 + 4)
Step-by-step explanation:
In order to find this, we must find the greatest common factor of both numbers. Below are the factors for each number.
18: 1, 2, 3, 6, 9, 18
24: 1, 2, 3, 4, 6, 12, 24
You'll notice that the highest number on both lists is 6. So we divide each number by 6 and then express as a distribution.
6(3 + 4)
The expression 18 + 24 can be expressed using the distributive property as 6(3 + 4)
To express using the distributive property, we take following steps :
Find the greatest common factor of the values 18 and 24
Factors of :
18 = 1, 2, 3, 6, 9, 1824 = 1, 2, 3, 4, 6, 8, 12, 24 The greatest value common to both 18 and 24 is 6, hence, it is the greatest common factor.Divide, the values by the 6 and express in the form a(b + c) :
b = 18 /6 = 3c = 24 / 6 = 4 6(3 + 4)Therefore, the required expression is 6(3 + 4)
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Nayan Patel purchases a compact vehicle with an MSRP of $17,980.00, including the destination charge and title fee. He selects a 4-way power front passenger seat, which costs 8 times the amount of remote keyless entry. The total cost of the compact vehicle, including a 7.2% sales tax, is $20,000.00. Find the cost of the remote keyless entry.
A $676.71
B $150.38
C $601.53
D $75.19
Answer:
$75.19
Step-by-step explanation:
Let 'x' be the cost of remote keyless entry.
And [tex]8x[/tex] be the cost of 4-way power front passenger seat.
Total cost = destination charge + title fee + taxes
So we have the equation:
[tex]20,000 = (17,980+x+8x)+0.072(17,980+x+8x)[/tex]
Now solving for 'x', we get:
[tex]20,000 = (17,980+9x)+0.072(17,980+9x)[/tex]
[tex]20,000=17,980+9x+1294.56+0.648x[/tex]
[tex]20,000=19274.56+9.648x[/tex]
[tex]725.44=9.648x[/tex]
[tex]x=\frac{725.44}{9.648} =75.19[/tex]
Therefore, the cost of remote keyless entry is $75.19.
Answer:
$601.53
Step-by-step explanation:
just do what the person did but all they forgot to do was to multiple for the "8 times" so take 75.19*8 to get 601.53.
list the whole numbers from 1 to 10 that are divisors of 12,300
The answer is 1, 2, 3, 4, 5, 6, 10 .
Have a good day!!! <3
solve this question r+31=2(6r+4) do distribute property PLESE AND THANK YOU
We simplify the equation to the form, which is simple to understand
r+31=-2(6r+4)
Reorder the terms in parentheses
r+31=+(-12r-8)
Remove unnecessary parentheses
+r+31=-12r-8
We move all terms containing r to the left and all other terms to the right.
+1r+12r=-8-31
We simplify left and right side of the equation.
+13r=-39
We divide both sides of the equation by 13 to get r.
r=-3
A hybrid car can get 54 mpg when traveling at an average speed of 30 mph. You travel in this car at that speed for 45 miles to your grandparents’ house. Gas at your nearest station cost $3.23. Use this information to complete the statements. It will take________ Hours to get to your grandparents’ house. Your car will use______gallons of gas on the trip. You will spend________on gas for the trip.
A) The time to travel 45 miles at a speed of 30 mph can be found from ...
... time = distance / speed
... time = (45 mi)/(30 mi/h) = 3/2 h = 1 hr 30 min
B) The gas consumption can be found from ...
... (45 mi)/(54 mi/gal) = 5/6 gal
C) The cost of gas can be found from ...
... ($3.23/gal)×(5/6 gal) ≈ $2.69
For a 45 miles trip at 30 mph, it would take about 1.5 hours in a hybrid car that gets 54 mpg. It would use approximately 0.833 gallons of gas, costing about $2.69.
Explanation:To solve this, we'll need to employ some basic math concepts. Starting off with the time it will take to get to your grandparents' house, you'll use the formula distance = speed x time. Given the speed is 30 mph and you're traveling 45 miles, that will be 45 miles / 30 mph = 1.5 hours.
Next, for the gallons of gas used on the trip, we'll use the car's mileage i.e., 54 miles per gallon. Hence, for a 45-mile trip, we have 45 miles / 54 mpg = 0.833 gallons of gas.
Finally, for the total cost of the trip, we'll multiply the amount of gas needed by the price per gallon. So, it will be 0.833 gallons x $3.23/gallon = $2.69. Thus the round trip will cost approximately $2.69 in gas.
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calculate 51degree 29munites+32degree 46munites
51° 29' + 32° 46' = (51+32)° (29+46)'
= 83° 75' . . . . . there are 60' in 1°, so 75' = 1° + 15'
= 84° 15'
Q # ..19 anybody help me?
The equation of the line with slope m and passing through the point [tex](x_0,y_0)[/tex] is
[tex]y-y_0=m(x-x_0).[/tex]
Since m=6 and the coordinates of the point are (8,3), then the equation is
[tex]y-3=6(x-8).[/tex]
Answer: correct choice is B.
What is 2.394 * 7.489
Answer: The answer is 17.87. However the answer including all the numbers you put in your question is 17.92. I used only the first 2 numbers after the decimal point.
Step-by-step explanation: Consider how many numbers are behind the decimal points as they will help you know where to put the decimal point in your answer.
Hope this helps!